When jupiter is a distance of 630 million kilometres from earth (4.2 astronomical units), it has an apparent angular diameter of 46 arcseconds (46/3600 of degree). calculate jupiter's diameter in kilometers, and state how many times larger this is than diameter of earth

Jupiter's diameter is 11 times greater than that of Earth

Explanation:

Given,

The distance between Jupiter and earth is 630 million km = D   km

Let, the angular diameter be  a = 46 arcseconds

Diameter of Jupiter be d

We know that Earth’s diameter = 12,742 km

According to the formula;

a (in arcseconds) =  

Substituting all the values in the equation;

46 =

Calculating for d;

d =  

d = 140,498.8728092502 km

The diameter of Jupiter is 140498.87 km

Therefore, Jupiter’s diameter is 11 times greater than Earth’s diameter.  

the answer is 0.5 mpm

step-by-step explanation:

the line goes half way through the square each time (which is 0.5 or half of course) so that would mean its 0.5 mpm.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6